Which is greater √6 - √3 or √10 - √7?
Type your answer as 1 for √6 - √3 2 for √10 - √7
Explanation:
Assuming √6 - √3 < √10 - √7
⇒ √6 + √7 < √10 + √3
Squaring both sides, we get
(13 + 2√42) < (13 + 2√30)
But this is not true.
∴ Our assumption was wrong.
⇒ √6 - √3 > √10 - √7.
Hence, 1.
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